TY - JOUR
T1 - L p(x)(Ω)-estimates of vector fields and some applications to magnetostatics problems
AU - Cekic, B.
AU - Kalinin, A. V.
AU - Mashiyev, R. A.
AU - Avci, M.
PY - 2012/5/15
Y1 - 2012/5/15
N2 - In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R{double-struck} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.
AB - In the present paper, we investigate Hölder-type norm inequalities in terms of div and curl of the vector-valued functions in variable exponent Lebesgue spaces L p(x)(Ω), where Ω⊂R{double-struck} 3. Moreover, by using the obtained results we give some applications for magnetostatics problems.
KW - Div-curl estimates
KW - Hölder-type inequalities
KW - Magnetostatics problems
KW - Variable exponent Lebesgue spaces
UR - http://www.scopus.com/inward/record.url?scp=84856262375&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.12.029
DO - 10.1016/j.jmaa.2011.12.029
M3 - Journal Article
AN - SCOPUS:84856262375
SN - 0022-247X
VL - 389
SP - 838
EP - 851
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -